33720056868960 has 1152 divisors, whose sum is σ = 146451988859904. Its totient is φ = 6862027898880.

The previous prime is 33720056868941. The next prime is 33720056868989. The reversal of 33720056868960 is 6986865002733.

33720056868960 is a `hidden beast` number, since 3 + 3 + 7 + 2 + 0 + 0 + 568 + 6 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×33720056868960² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1285196962 + ... + 1285223198.

It is an arithmetic number, because the mean of its divisors is an integer number (127128462552).

Almost surely, 2^{33720056868960} is an apocalyptic number.

33720056868960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33720056868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73225994429952).

33720056868960 is an abundant number, since it is smaller than the sum of its proper divisors (112731931990944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33720056868960 is a wasteful number, since it uses less digits than its factorization.

33720056868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26516 (or 26505 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 33720056868960 in words is "thirty-three trillion, seven hundred twenty billion, fifty-six million, eight hundred sixty-eight thousand, nine hundred sixty".